## NUMBER OUTCOME 8.1

Demonstrate understanding of the square and principle square root of whole numbers concretely or pictorially and symbolically.

Demonstrate understanding of the square and principle square root of whole numbers concretely or pictorially and symbolically.

[CN, ME, R, T, V]

## NUMBER OUTCOME 8.2

Expand and demonstrate understanding of percents greater than or equal to 0% (including fractional and decimal percents) concretely, pictorially, and symbolically.

Expand and demonstrate understanding of percents greater than or equal to 0% (including fractional and decimal percents) concretely, pictorially, and symbolically.

[CN, PS, R, V]

## NUMBER OUTCOME 8.3

Demonstrate understanding of rates, ratios, and proportional reasoning concretely, pictorially, and symbolically.

Demonstrate understanding of rates, ratios, and proportional reasoning concretely, pictorially, and symbolically.

[C, CN, PS, R, V]

## NUMBER OUTCOME 8.4

Demonstrate understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically.

Demonstrate understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically.

[C, CN, ME, PS]

## NUMBER OUTCOME 8.5

Demonstrate understanding of multiplication and division of integers concretely, pictorially, and symbolically.

Demonstrate understanding of multiplication and division of integers concretely, pictorially, and symbolically.

[C, CN, PS, R, V]

## PATTERN & RELATIONS OUTCOME 8.1

Demonstrate understanding of linear relations concretely, pictorially (including graphs), physically, and symbolically.

Demonstrate understanding of linear relations concretely, pictorially (including graphs), physically, and symbolically.

[CN, ME, PS, R, T, V]

## PATTERN & RELATIONS OUTCOME 8.2

Model and solve problems using linear equations.

Model and solve problems using linear equations of the form:

- ax = b
- x/a = b, a ≠ 0
- ax + b = c
- x/a + b = c, a ≠ 0
- a(x + b) = c
- concretely, pictorially, and symbolically, where a, b, and c are integers.

[C, CN, PS, V]

## SHAPE & SPACE OUTCOME 8.1

Demonstrate understanding of the Pythagorean Theorem concretely or pictorially and symbolically and by solving problems.

Demonstrate understanding of the Pythagorean Theorem concretely or pictorially and symbolically and by solving problems.

[CN, PS, R, T, V]

## SHAPE & SPACE OUTCOME 8.2

Demonstrate understanding of the surface area of 3-D objects limited to right prisms and cylinders.

Demonstrate understanding of the surface area of 3-D objects limited to right prisms and cylinders (concretely, pictorially, and symbolically) by:

- analyzing views
- sketching and constructing 3-D objects, nets, and top, side, and front views
- generalizing strategies and formulae
- analyzing the effect of orientation
- solving problems.

[C, CN, PS, R, T V]

## SHAPE & SPACE OUTCOME 8.3

Demonstrate understanding of volume limited to right prisms and cylinders.

Demonstrate understanding of volume limited to right prisms and cylinders (concretely, pictorially, or symbolically) by:

- relating area to volume
- generalizing strategies and formulae
- analyzing the effect of orientation
- solving problems.

[CN, PS, R, V]

## SHAPE & SPACE OUTCOME 8.4

Demonstrate an understanding of tessellation.

Demonstrate an understanding of tessellation by:

- explaining the properties of shapes that make tessellating possible
- creating tessellations
- identifying tessellations in the environment.

[C, CN, PS, T, V]

## SATISTICS & PROBABILITY OUTCOME 8.1

Analyze the modes of displaying data and the reasonableness of conclusions.

Analyze the modes of displaying data and the reasonableness of conclusions.

[C, CN, R]

## SATISTICS & PROBABILITY OUTCOME 8.2

Demonstrate understanding of the probability of independent events concretely, pictorially, orally, and symbolically.

Demonstrate understanding of the probability of independent events concretely, pictorially, orally, and symbolically.

[C, CN, PS, T]